GCD of 550, 214, 788, 498 Calculator

Given Input numbers are 550, 214, 788, 498

In the factoring method, we have to find the divisors of all numbers

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (550, 214, 788, 498) = 2.

Given numbers are 550, 214, 788, 498

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 214 are 2 x 107

Prime factors of 788 are 2 x 2 x 197

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 550, 214, 788, 498 is 2.

Given numbers are 550, 214, 788, 498

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(550, 214) = 58850

GCD(550, 214) = ( 550 x 214 ) / 58850

= 550 / 214

= 550

Step2:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 550, 214, 788, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 909, 757, 244
• GCD of 887, 646, 701, 754
• GCD of 368, 639, 258, 734
• GCD of 858, 774, 825, 409
• GCD of 755, 285, 983, 766

Given numbers are 550, 214, 788, 498
The greatest common divisor of numbers 550, 214, 788, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 214, 788, 498 is 2.

1. What is the GCD of 550, 214, 788, 498?

GCD of given numbers 550, 214, 788, 498 is 2

2. How to calculate the greatest common divisor of 550, 214, 788, 498?

We can find the highest common divisor of 550, 214, 788, 498 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 550, 214, 788, 498 i.e 2.

3. How can I use the GCD of 550, 214, 788, 498Calculator?

Out the numbers 550, 214, 788, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.